Upper and lower bounds to atomic radial position moments

DOI10.1007/s10910-019-01073-6zbMath1433.81167OpenAlexW2985854827WikidataQ126799606 ScholiaQ126799606MaRDI QIDQ2299050

M. G. Marmorino

Publication date: 20 February 2020

Published in: Journal of Mathematical Chemistry (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10910-019-01073-6

zbMATH Keywords

upper boundshelium atomlower boundsradial momentsposition moments

Mathematics Subject Classification ID

Variational inequalities (49J40) Estimates of eigenvalues in context of PDEs (35P15) Atomic physics (81V45) Molecular physics (81V55)

Related Items (1)

Upper and lower bound states for zero dimensional space in scalar quantum field theory

Cites Work

• Moment problem formulation of the Schrödinger equation
• Hypervirial perturbation theory revisited
• On the Schrodinger equation for the gaussian potential -A exp(-λr²)
• Lower Bounds for Eigenvalues with Application to the Helium Atom
• Error Bounds for Approximations to Expectation Values of Unbounded Operators

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